<span>1/3 is equivalent to a decimal that does not terminate.
A terminating decimal is one that ends. Some decimals never end, however. If you divide 1 by 3 using the standard algorithm, you will get 0.333333... repeating forever. This is a non-terminating decimal, or repeating decimal.
In contrast, 1/4 is equal to 0.25, which is a terminal decimal.</span>
Hi there! The fourth answer is correct.
In the picture we have to deal with facts:
1. The angle of 45°
2. The length of the opposite side
3. The length of the adjacent side.
Since we have to use the opposite and the adjacent side, we have to use the tangent of the angle. In a formula:
![\tan( \alpha ) = \frac{opposite}{adjecent}](https://tex.z-dn.net/?f=%20%5Ctan%28%20%5Calpha%20%29%20%3D%20%5Cfrac%7Bopposite%7D%7Badjecent%7D%20)
Filling in this formula, brings us to the following answer.
Value of x is 9 and measure of each side is 35 units.
<u>SOLUTION:
</u>
Given, Triangle QRS is an equilateral triangle.
QR is seventeen more than twice x, ![\rightarrow QR = 17 + 2x](https://tex.z-dn.net/?f=%5Crightarrow%20QR%20%3D%2017%20%2B%202x)
RS is 19 less than six times x, ![\rightarrow RS = 6x-19](https://tex.z-dn.net/?f=%5Crightarrow%20RS%20%3D%206x-19)
And QS is one less four times x, ![\rightarrow QS = 4x-1](https://tex.z-dn.net/?f=%5Crightarrow%20QS%20%3D%204x-1)
We have to find x and measure of each side.
Now, we know that, sides of equilateral triangle are equal,
Then ![QR = QS \rightarrow 17 + 2x = 4x-1 \rightarrow 4x-2x = 17 + 1 \rightarrow 2x = 18 \rightarrow x = 9](https://tex.z-dn.net/?f=QR%20%3D%20QS%20%5Crightarrow%2017%20%2B%202x%20%3D%204x-1%20%5Crightarrow%204x-2x%20%3D%2017%20%2B%201%20%5Crightarrow%202x%20%3D%2018%20%5Crightarrow%20x%20%3D%209)
So, value of x is 9.
![\begin{array}{l}{\text { Now, } \mathrm{QR}=17+2(9)=17+18=35} \\\\ {\mathrm{RS}=6(9)-19=54-19=35} \\\\ {\mathrm{QS}=4(9)-1=36-1=35}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Ctext%20%7B%20Now%2C%20%7D%20%5Cmathrm%7BQR%7D%3D17%2B2%289%29%3D17%2B18%3D35%7D%20%5C%5C%5C%5C%20%7B%5Cmathrm%7BRS%7D%3D6%289%29-19%3D54-19%3D35%7D%20%5C%5C%5C%5C%20%7B%5Cmathrm%7BQS%7D%3D4%289%29-1%3D36-1%3D35%7D%5Cend%7Barray%7D)
Hence, value of x is 9 and measure of each side is 35.
Answer:
25) cos X = 12/37 cos X = 0.3243 X = 71.08 degrees
26) tan C = 32/24 tan C = 1.3333 C = 53.13 degrees
27) sin Z = 15/25 sin Z = 0.6 Z = 36.87 degrees
28) sin A = 32/40 sin A = 0.8 A = 53.13 degrees
29) sin Z = 40/50 sin Z = 0.8 Z = 53.13 degrees